By the way, earlier I wrote that
> the modems don't have IP addresses
This is not so straightforward forward. There is one additional address allocated to the WAN-facing interface of my router (the Firebrick FB2500) and you could say (correct me) that this is the address of the WAN-facing or outside interface of the three modems. One address common to the three, that's why initially I said it's the address of the router, not the address of the modems or of any one of them. There's no way on earth afaik to get an IP address of one modem (only).
The three modems are just treated as a single pipe that is indivisible, and what happens in the bit between the two ends, where it is three pipes in fact, to be recombined by remerging the flows, is not seen by the Internet.
You can find out what is going on in the individual pipes by going down a level and asking one of the three PPP subsystems what's been happening, and A & A do this by PPP LCP pinging each line frequently and recording the timings so they get a record of speed performance from one second to the next as well as any possible packet loss where LCP echoes don't come back.